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# What is the significance of the orthocenter of a triangle?

**The point of intersection of the three altitudes of a triangle is called the orthocenter, and the altitudes can be used to calculate the area of a triangle.** The altitudes can also be used to calculate the values of trigonometric ratios.

The altitude of a triangle is a line segment drawn from the vertex of a triangle and perpendicular to the opposite side of the triangle. In a right-angled triangle, the vertex forming the right angle is the orthocenter of the triangle. If the triangle has one angle greater than 90 degrees, the orthocenter lies outside the triangle. If all three angles of a triangle are less than 90 degrees, the orthocenter lies inside the triangle.

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## How do you calculate the area of a triangle?

A: Find the length of the triangle's base and height, multiply them together, and divide the product by two to find the area. Find the length of all sides of ... Full Answer >Filed Under: -
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## What is the area of a triangle?

A: The area of a triangle is found by multiplying one-half times its base times its height. According to Wolfram Mathworld, Beyer and Baker there are 110 form... Full Answer >Filed Under: -
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## How do you find the area of a rhombus?

A: To find the area of a rhombus, divide the rhombus into two equal triangles, calculate the area of one triangle, then multiply by 2. Use a pen, ruler, divid... Full Answer >Filed Under: -
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## How do you calculate the area of a triangle with its vertices?

A: The area of a triangle can be calculated from its vertices by using a formula to find the distances between them. This allows for the calculation of the ar... Full Answer >Filed Under: